“…Recently, cross-lingual alignment objectives have been used to train multilingual contextual models from scratch (Hu et al, 2021;Chi et al, 2021), to align the outputs of monolingual models (Aldarmaki and Diab, 2019;Wang et al, 2019), or to apply a post-hoc alignment to a multilingual model after pre-training (Zhao et al, 2021;Cao et al, 2020;Wu and Dredze, 2020b;Kvapilíková et al, 2020;Ouyang et al, 2021;Alqahtani et al, 2021). These works typically use objectives that rely on translated or induced sentence pairs, such as translation language modelling (TLM; Lample and Conneau, 2019).…”